July 10-11, 2025
Ruhr University Bochum

Organizers: Karin Baur, Markus Reineke

Speakers

The list of the conference speakers includes the following:

• Daniel Bissinger (Kiel)
• Giulia Iezzi  (Aachen)
• Dani Kaufman (Leipzig)
• Daisie Rock (Leuven)
• Sibylle Schroll  (Cologne)

Schedule

Registration

Late registration is still open via this form.

Venue

TBA

Conference Dinner

A conference dinner is set to take place on July 10 at 18:30 at Beckmanns Hof in the Botanical Garden directly south of the Ruhr University's campus.

Accommodation

We recommend the following accommodation options close to campus or the central station:

• B&B Bahnhof-Süd
• Hotel Claudius
• B&B Bochum City
• acora Bochum Living in the City
• Landesspracheninstitut Bochum

Talks

Daniel Bissinger
On uniform and homogeneous Steiner bundles and reflection functors

Uniformity and homogeneity are classical and well-studied properties of vector bundles on projective space $\mathbb{P}^n$. While every homogeneous bundle is necessarily uniform, the converse does not hold for n > 1, as first demonstrated by Elencwajg in 1979. More recently, Marchesi and Miró-Roig have shown that uniform but non-homogeneous bundles already appear within the special class of so-called Steiner bundles.

In this talk, we outline the connection between Steiner bundles on Grassmannians and certain full subcategories of representations of generalized Kronecker quivers. Using this correspondence, we then present alternative proofs of known results for Steiner bundles, and describe how homogeneous and uniform Steiner bundles on $\mathbb{P}^n$ can be studied using Auslander-Reiten theory, recent results on general subrepresentations, and reflection functors.
Some of the results presented are part of joint work with Rolf Farnsteiner.

Giulia Iezzi
Quiver Grassmannians for linear degenerations of Schubert varieties

Quiver Grassmannians are projective varieties parametrising subrepresentations of quiver representations. Their geometry is an interesting object of study, due to the fact that many geometric properties can be studied via the representation theory of quivers. For instance, this method was used to study linear degenerations of flag varieties, obtaining characterisations of flatness, irreducibility and normality via rank tuples.
In this talk, we discuss a class of smooth and irreducible quiver Grassmannians. By choosing appropriate dimension vectors, these varieties can be exploited to realise smooth Schubert varieties or to desingularise non-smooth ones. Then, we build upon this construction and define linear degenerations of Schubert varieties, giving a combinatorial description of  the isomorphism classes of certain quiver representations.